Question

James has a board that is 3 4 3 4 foot long. He wants to cut the board into pieces that are each 1 8 1 8 foot long. How many pieces can James cut from the board? Explain how James can use the number line diagram to determine the number of pieces he can cut from the board. Enter your answer and your explanation in the space provided.

Answer 1

To determine the number of pieces James can cut from the board, we need to divide the total length of the board by the length of each piece.

Total length of the board = 3 4 3 4 feet = 12 feet

Length of each piece = 1 8 1 8 feet = 0.125 feet

Number of pieces = Total length of the board / Length of each piece = 12 / 0.125 = 96

Therefore, James can cut 96 pieces from the board.

To use the number line diagram to determine the number of pieces James can cut from the board, we can draw a number line with the length of the board marked on it. Then, we can mark off segments of length 1 8 1 8 feet along the number line until we have marked off the entire length of the board. The number of segments we have marked off will be the number of pieces James can cut from the board. In this case, we would mark off 96 segments, so James can cut 96 pieces from the board.